denotes the derived pushforward in the derived categories, cf. [1]}.
For the special case of a projection \(p \colon X \rightarrow \lbrace pt\rbrace \)  to a point, one obtains
\(H^i(X,F) =R^i p_* F =\mathcal {H}^i( R p_* F )= \mathbb {H}^i( X, F )\) 
